Necessary conditions on Calabi-Yau Manifolds for Large Volume Vacua

James Gray; Yang-Hui He; Vishnu Jejjala; Benjamin Jurke; Brent D. Nelson; Joan Simón; Joan Simon Soler

doi:10.1103/PhysRevD.86.101901

Necessary conditions on Calabi-Yau Manifolds for Large Volume Vacua

James Gray, Yang-Hui He, Vishnu Jejjala, Benjamin Jurke, Brent D. Nelson, Joan Simón, Joan Simon Soler

School of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We describe an efficient, construction independent, algorithmic test to determine whether Calabi--Yau threefolds admit a structure compatible with the Large Volume moduli stabilization scenario of type IIB superstring theory. Using the algorithm, we scan complete intersection and toric hypersurface Calabi-Yau threefolds with $2 \leq h^{1,1} \le 4$ and deduce that 418 among 4434 manifolds have a Large Volume Limit with a single large four-cycle. We describe major extensions to this survey, which are currently underway.

Original language	English
Article number	101901
Number of pages	5
Journal	Physical Review D
Volume	86
Issue number	10
DOIs	https://doi.org/10.1103/PhysRevD.86.101901
Publication status	Published - 1 Nov 2012

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10.1103/PhysRevD.86.101901

Necessary conditions on Calabi-Yau manifolds with large volume vacuaAccepted author manuscript, 565 KB

Gravity, thermodynamics and cosmology
Simon Soler, J. (Principal Investigator)
EPSRC
1/03/09 → 31/08/13
Project: Research

Cite this

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title = "Necessary conditions on Calabi-Yau Manifolds for Large Volume Vacua",

abstract = "We describe an efficient, construction independent, algorithmic test to determine whether Calabi--Yau threefolds admit a structure compatible with the Large Volume moduli stabilization scenario of type IIB superstring theory. Using the algorithm, we scan complete intersection and toric hypersurface Calabi-Yau threefolds with \$2 \textbackslash{}leq h\textasciicircum{}\{1,1\} \textbackslash{}le 4\$ and deduce that 418 among 4434 manifolds have a Large Volume Limit with a single large four-cycle. We describe major extensions to this survey, which are currently underway.",

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AU - D. Nelson, Brent

AU - Simón, Joan

AU - Simon Soler, Joan

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AB - We describe an efficient, construction independent, algorithmic test to determine whether Calabi--Yau threefolds admit a structure compatible with the Large Volume moduli stabilization scenario of type IIB superstring theory. Using the algorithm, we scan complete intersection and toric hypersurface Calabi-Yau threefolds with $2 \leq h^{1,1} \le 4$ and deduce that 418 among 4434 manifolds have a Large Volume Limit with a single large four-cycle. We describe major extensions to this survey, which are currently underway.

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Necessary conditions on Calabi-Yau Manifolds for Large Volume Vacua

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Gravity, thermodynamics and cosmology

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